Grossmisma
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Factorization | 2-30 × 3-13 × 5-1 × 7 × 117 × 137 |
Monzo | [-30 -13 -1 1 7 7⟩ |
Size in cents | 0.016410293¢ |
Name | grossmisma |
Color name | 3o71o7zg2, Septholo-azogu comma, Septholo-azogu 2nd |
FJS name | [math]\text{7d2}^{7,11,11,11,11,11,11,11,13,13,13,13,13,13,13}_{5}[/math] |
Special properties | reduced |
Tenney height (log2 nd) | 105.853 |
Weil height (log2 max(n, d)) | 105.853 |
Wilson height (sopfr(nd)) | 279 |
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~1.19982 bits |
Comma size | unnoticeable |
open this interval in xen-calc |
- Not to be confused with Grossma.
The grossmisma is an unnoticeable 13-limit comma with a ratio of 2-30 × 3-13 × 5-1 × 7 × 117 × 137 = 8559537565427849/8559456430325760 and a value of approximately 0.0164 cents. The grossmisma is significant on account of it being the interval between a stack of seven grossmas and one 21/20 chromatic semitone in Just Intonation - this significance in relation to grossma being the source of its name. Tempering it out leads to a form of grossmismic temperament.